ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 6 B
• 
  C
• 
  D

By expressing sin 125° in terms of trigonometrical ratios, answer will be

• sin 65° = 0.9128 A
• sin 55° = 0.8192 B
• sin 70° = 0.5384 C
• sin 72° = 0.1982 D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• None of these D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 C
• None of these D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

f(x) = log x + 3 is a

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

How many types of an equation

• 1 A
• 3 B
• 2 C
• None D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

IF the cone is cut by a plane perpendicular to the axis of the cone, then the section is a

• circle A
• ellipse B
• hyperbola C
• parabola D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

• 
  A
• 
  B
• 
  C
• 
  D

for n€ N, 3^{2n + 7 is divisible by}

• 7 A
• 8 B
• 9 C
• 10 D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

• (x + 2)2(x - 1) A
• (x + 2)(x - 1)2 B
• (x+2)(x2- x- 2) C
• (x + 2)2(x - 1)2 D

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

graph of trigonometric function y = sec x does not meet

• x - axis A
• y -axis B
• both axis C
• None of these D

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

• Straight line A
• Circle B
• Hyperbola C
• Symmetric w.r.t.0 D

A polynomial P(x)has a factor (x-a)if P(a) =

• a A
• x B
• 1 C
• 0 D

• 
  A
• 
  B
• 0 C
• 1 D

n! > 2ⁿ-1 is true when

• n≤ 3 A
• n≤ 6 B
• n≥ 4 C
• n≤ 6 D

Inequalities have ______ symbol

• 2 A
• 3 B
• 4 C
• 1 D

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

• √7 A
• √41 B
• √19 C
• √(2&7) D

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

• 
  A
• 
  B
• 
  C
• 
  D

The area between the x-axis the curve y =4x-x2 is :

• 32/2 A
• 15 B
• 18 C
• 21 D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

• 
  A
• 
  B
• 
  C
• 
  D